Short division with remainders
Divide numbers up to four digits by a one-digit number using short division (and place-value/array strategies); interpret remainders appropriately for the context
Lesson
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Use short division and interpret remainders from the problem.
Earlier learning
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Before teaching
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R1. Calculate 6 × 8. R2. Calculate 48 ÷ 6. R3. How many tens make one hundred?
R1. Response:
R2. Response:
R3. Response:
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1 approach
Use short division and interpret remainders from the problem.
Use short division and interpret remainders from the problem.
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Learning resources
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Illustrative Mathematics · Practice link — not the full lesson
What is 23 ÷ 5?
Before you open · source notes
23 ÷ 5 supports short division with a remainder. Not every decimal long division.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk the learner to find the quotient and remainder and say what the remainder means.
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Source, access and review notes
Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-12 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.
Illustrative Mathematics. “What is 23 ÷ 5?.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.
CC BY-NC-SA 4.0 — link only
Check understanding
- Calculate 4,932 ÷ 6 using short division
- Solve 125 ÷ 8 and interpret: 15 remainder 5 means 15 full bags with 5 left over
- Use the multiplication–division relationship to check a division answer
“Can your child use the short division ('bus stop') method to work out something like '2,457 ÷ 6', and decide what to do with any remainder left over?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Multiplication & Division
- Age range
- Ages 9–11
Standards